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Finding the Fourth Proportional to 853.86, 1,279.58 and 340.26

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Solution

The fourth proportional to 853.86, 1,279.58 and 340.26 is: 509.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.86 : 1,279.58 = 340.26 : x
  2. Step 2: Convert to fraction form
    853.86/1,279.58 = 340.26/x
  3. Step 3: Cross multiply
    853.86x = 1,279.58 × 340.26
  4. Step 4: Simplify right side
    853.86x = 435,389.89
  5. Step 5: Solve for x
    x = 435,389.89/853.86
  6. Step 6: Final answer
    x = 509.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.